# Heat generation with plasmonic nanoparticles

## TL;DR

This paper analyzes heat generation by plasmonic nanoparticles of arbitrary shapes under resonance illumination, revealing significant temperature deviations in close-to-touching particles, with implications for biomedical detection and thermal monitoring.

## Contribution

It introduces a mathematical framework using layer potentials and asymptotic analysis for arbitrary-shaped nanoparticles, including multiple particles, at plasmonic resonance.

## Key findings

- Temperature fields differ significantly for close-to-touching nanoparticles.
- The analysis enables better detection of nanoparticles in biological media.
- It provides insights into temperature elevation in tissue due to nanoparticle heating.

## Abstract

In this paper we use layer potentials and asymptotic analysis techniques to analyze the heat generation due to nanoparticles when illuminated at their plasmonic resonance. We consider arbitrary-shaped particles and both single and multiple particles. For close-to-touching nanoparticles, we show that the temperature field deviates significantly from the one generated by a single nanoparticle. The results of this paper open a door for solving the challenging problems of detecting plasmonic nanoparticles in biological media and monitoring temperature elevation in tissue generated by nanoparticle heating.